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Finding the Third Proportional to 399.94 and 851.77

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Solution

The third proportional to 399.94 and 851.77 is: 1,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 851.77 = 851.77 : x
  2. Step 2: Convert to fraction form
    399.94/851.77 = 851.77/x
  3. Step 3: Cross multiply
    399.94x = 851.77 × 851.77
  4. Step 4: Simplify right side
    399.94x = 725,504.68
  5. Step 5: Solve for x
    x = 725,504.68/399.94
  6. Step 6: Final answer
    x = 1,814.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.